Quadratic Formula Flashcards

The formula used to solve quadratic equations: x = (-b ± √(b² - 4ac)) / 2a.

Use the quadratic formula when a quadratic equation cannot be factorised easily.

The part of the quadratic formula under the square root: b² - 4ac.

If b² - 4ac > 0, the quadratic equation has two distinct real roots.

If b² - 4ac = 0, the quadratic equation has one repeated real root.

If b² - 4ac < 0, the quadratic equation has no real roots.

In the quadratic equation ax² + bx + c = 0, a, b, and c are the coefficients.

1. Identify a, b, and c. 2. Substitute into the formula. 3. Simplify the discriminant. 4. Solve for x.

You can use a calculator to evaluate the quadratic formula, especially for complex calculations.

The quadratic formula can give exact solutions in surd form if the discriminant is not a perfect square.